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40133434344234 = 23711251937369361
BaseRepresentation
bin10010010000000010010110…
…00110010000001100101010
312021002201102001012000112220
421020001023012100030222
520230021233143003414
6221205013433214510
711311354626206340
oct1110011306201452
9167081361160486
1040133434344234
1111873548457920
124602165b61436
131951749b2b53a
149ca67bb31990
15498e6931dca9
hex24804b19032a

40133434344234 has 128 divisors (see below), whose sum is σ = 100579175553024. Its totient is φ = 10371628800000.

The previous prime is 40133434344203. The next prime is 40133434344247. The reversal of 40133434344234 is 43244343433104.

It is a super-2 number, since 2×401334343442342 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108471714 + ... + 108841074.

It is an arithmetic number, because the mean of its divisors is an integer number (785774809008).

Almost surely, 240133434344234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133434344234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50289587776512).

40133434344234 is an abundant number, since it is smaller than the sum of its proper divisors (60445741208790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40133434344234 is a wasteful number, since it uses less digits than its factorization.

40133434344234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370572.

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 40133434344234 its reverse (43244343433104), we get a palindrome (83377777777338).

The spelling of 40133434344234 in words is "forty trillion, one hundred thirty-three billion, four hundred thirty-four million, three hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 251 462 502 753 937 1506 1757 1874 2761 2811 3514 5271 5522 5622 6559 8283 10307 10542 13118 16566 19327 19677 20614 30921 38654 39354 57981 61842 72149 115962 144298 216447 235187 369361 432894 470374 705561 738722 1108083 1411122 1646309 2216166 2585527 2587057 3292618 4062971 4938927 5171054 5174114 7756581 7761171 8125942 9877854 12188913 15513162 15522342 18109399 24377826 28440797 36218798 54328197 56881594 85322391 92709611 108656394 170644782 185419222 278128833 346091257 556257666 648967277 692182514 1019805721 1038273771 1297934554 1946901831 2039611442 2076547542 2422638799 3059417163 3807003827 3893803662 4845277598 6118834326 7138640047 7267916397 7614007654 11421011481 14277280094 14535832794 21415920141 22842022962 26649026789 42831840282 53298053578 79947080367 86868905507 159894160734 173737811014 260606716521 521213433042 608082338549 955557960577 1216164677098 1824247015647 1911115921154 2866673881731 3648494031294 5733347763462 6688905724039 13377811448078 20066717172117 40133434344234